65 sequences.
Lets solve the problem,
The last term is 0.
To form the first 18 terms, we must combine the following two sequences:
0-1 and 0-1-1
Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent
So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:
2x + 3y = 18
Case 1: x=9 and y=0
Number of ways to arrange 9 identical 2-term sequences = 1
Case 2: x=6 and y=2
Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28
Case 3: x=3 and y=4
Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35
Case 4: x=0 and y=6
Number of ways to arrange 6 identical 3-term sequences = 1
Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65
Hence the number of sequences are 65.
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$567.86
The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 4.25% per year compounded 12 times per year over 3 years is $567.86.
Step-by-step explanation:
80 free throws on 128 attempts
Answer:
No entiendo por qué está en ingles
The probability that there is at most one purple marble is 0.9701.
<h3>What is the probability about?</h3>
Probability is a term that connote the possibility of an event or something occurring or not.
Note that it is one that is based on the level of occurrence that can be seen in a random event.
Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.
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